Synthetic division and matrix factorization

Authors: Barabé, Samuel¹; Dubeau, Franc¹

Source: International Journal of Mathematical Education in Science and Technology, Volume 38, Number 8, January 2007 , pp. 1051-1064(14)

Publisher: Taylor and Francis Ltd

Abstract:

Synthetic division is viewed as a change of basis for polynomials written under the Newton form. Then, the transition matrices obtained from a sequence of changes of basis are used to factorize the inverse of a bidiagonal matrix or a block bidiagonal matrix.

Document Type: Research article

DOI: 10.1080/00207390601002963

Affiliations: 1: Département de mathématiques, Université de Sherbrooke, Sherbrooke (QC), Canada, J1K 2R1

Links for this article

http://www.ingentaconnect.com/tandf/tmes/2007/00000038/00000008/art00004
http://openurl.ingenta.com/content?genre=article&issn=0020-739X&volume=38&issue=8&spage=1051&epage=1064
http://dx.doi.org/10.1080/00207390601002963